The most common and most likely answer to this crossword clue is the 7 letter word SEVERAL
I've seen this crossword clue in The Daily Telegraph
S
E
V
E
R
A
L
More clues leading to the result SEVERAL
- Quite a few cut, almost everyone
- A few among meerkats, ever alert
- A number cut in front of a learner driver
- Number of times Les goes back to woman indoors
- Some split a line
- Doctor reveals more than 2 or 3?
- Scandinavian man’s upset about first woman having a few
- Many cut a left
- More than just a few cut, almost all
- Some of those Vera loved — quite a number
Buddy explains!

The straight part
We know that "More than just a few" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case more than just a few = several.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does SEVERAL mean?
SEVERAL noun- An area of land in private ownership (as opposed to common land).
- Each particular taken singly; an item; a detail; an individual.
- An enclosed or separate place; enclosure.
- A woman's loose outer garment, capable of being worn as a shawl, or in other forms.
- By itself; severally.